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Finding the Fourth Proportional to 559.29, 771.86 and 310.61

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Solution

The fourth proportional to 559.29, 771.86 and 310.61 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.29 : 771.86 = 310.61 : x
  2. Step 2: Convert to fraction form
    559.29/771.86 = 310.61/x
  3. Step 3: Cross multiply
    559.29x = 771.86 × 310.61
  4. Step 4: Simplify right side
    559.29x = 239,750.14
  5. Step 5: Solve for x
    x = 239,750.14/559.29
  6. Step 6: Final answer
    x = 428.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.